An Investigation of Compressor Map Width Enhancement and a Detailed Analysis of Inducer Flow Field

This paper describes an investigation of various shroud bleed slot configurations of a centrifugal compressor using CFD with a manual multi-block structured grid generation method. The compressor under investigation is used in a turbocharger application for a heavy duty diesel engine of approximately 400 hp. The baseline numerical model has been developed and validated against experimental performance measurements. The influence of the bleed slot flow field on a range of operating conditions between surge and choke has been analysed in detail.
The impact of the returning bleed flow on the incidence at the impeller blade leading edge due to its mixing with the main through-flow has also been studied. From the baseline geometry, a number of modifications to the bleed slot width have been proposed, and a detailed comparison of the flow characteristics performed. The impact of slot variations on the inlet incidence angle has been investigated, highlighting the improvement in surge and choked flow capability. Along with this, the influence of the bleed slot on stabilising the blade passage flow by the suction of the tip and over-tip vortex flow by the slot has been considered near surge.

Closable multipliers

Let $(X,\mu)$ and $(Y,\nu)$ be standard measure spaces. A function $\nph\in L^\infty(X\times Y,\mu\times\nu)$ is called a (measurable) Schur multiplier if the map $S_\nph$, defined on the space of Hilbert-Schmidt operators from $L_2(X,\mu)$ to $L_2(Y,\nu)$ by multiplying their integral kernels by $\nph$, is bound-ed in the operator norm. The paper studies measurable functions $\nph$ for which $S_\nph$ is closable in the norm topology or in the weak* topology. We obtain a characterisation of w*-closable multipliers and relate the question about norm closability to the theory of operator synthesis. We also study multipliers of two special types: if $\nph$ is of Toeplitz type, that is, if $\nph(x,y)=f(x-y)$, $x,y\in G$, where $G$ is a locally compact abelian group, then the closability of $\nph$ is related to the local inclusion of $f$ in the Fourier algebra $A(G)$ of $G$. If $\nph$ is a divided difference, that is, a function of the form $(f(x)-f(y))/(x-y)$, then its closability is related to the ``operator smoothness'' of the function $f$. A number of examples of non closable, norm closable and w*-closable multipliers are presented.

What is Irish Standard English?

Standard English need not be a matter of prescriptivism or any attempt to ‘create’ a particular standard, but, rather, can be a matter of observation of actual linguistic behaviour. For Hudson (2000), standard English is the kind of English which is written in published work, which is spoken in situations where published writing is most influential – especially in university level education and so in post-university professions – and which is spoken ‘natively’ at home by the ‘professional class’, i.e. people who are most influenced by published writing. In the papers in Bex and Watts (eds, 1999), it is recurrently claimed that, when speaking English, what the ‘social group with highest degree of power, wealth or prestige’ or more neutrally ‘educated people’ or ‘socially admired people’ speak is the variety known as ‘standard English’. However, ‘standard English’ may also mean that shared aspect of English which makes global communication possible. This latter perspective allows for two meanings of ‘standard’: it may refer both to an idealised set of shared features, and also to different sets of national features, reflecting different demographic and political histories and language influences. The methodology adopted in the International Corpus of English (henceforth ICE – cf. Greenbaum, 1996) enables us to observe and investigate each set of features, showing what everybody shares and also what makes each national variety of English different.